We look at the division of 657442 by 42 
Our goal is to divide 657442 by 42.

Going ahead to step 1:
When dividing 6 by 42, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 42

Let's proceed to step 2:
The number 42 fits into 65 1 times, leaving a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 42 away from 65, we end up with 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 42

Advancing to step 3:
If we divide 237 by 42, we get 5 and a remainder of 27.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 210 away from 237, we end up with 27.
Fetch the next digit (4) from the dividend, attach it to 27 and continue: 274 / 42

Moving on to step 4:
42 goes into 274 6 times with a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 156.0
Subtract 252 from 274 to get 22.
Fetch the next digit (4) from the dividend, attach it to 22 and continue: 224 / 42

Advancing to step 5:
The number 42 fits into 224 5 times, leaving a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 1565.0
Subtracting 210 from 224 leaves us with 14.
Grab the next digit (2) from the dividend, add it to 14, then carry on: 142 / 42

Advancing to step 6:
42 can be fit into 142 3 times, resulting in a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 15653.0
If we take 126 away from 142, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
42 goes into 160 3 times with a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 15653.3
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
When dividing 340 by 42, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 15653.38
If we take 336 away from 340, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 15653.38
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
42 goes into 400 9 times with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 15653.3809
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 11:
If we divide 220 by 42, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 15653.38095
Subtract 210 from 220 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
When dividing 100 by 42, we get 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 15653.380952
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
When dividing 160 by 42, we get 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 15653.3809523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 14:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 15653.38095238
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 15653.38095238, with a leftover of 4e-09.